# fractional part

The fractional part of a nonnegative real number is the part of the number that appears after the decimal . For example, the fractional part of $\frac{7}{3}$ is $\frac{1}{3}$.

To be more precise, for $x\in\mathbb{R}$ with $x\geq 0$, the fractional part of $x$, denoted as $\{x\}$, is given by $\{x\}=x-[x]$, where $[x]$ denotes the integer part of $x$.

The name “fractional part” is somewhat of a misnomer: To the novice, the name may seem to imply that the result must be a fraction (and therefore rational), which is not the case. For example, $\{\pi\}=\pi-3$, which is not rational.

Title fractional part FractionalPart 2013-03-22 16:14:13 2013-03-22 16:14:13 Wkbj79 (1863) Wkbj79 (1863) 7 Wkbj79 (1863) Definition msc 11-00 msc 26A09 IntegerPart